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I show that the quantum critical points observed in heavy fermions (the `Kondo breakdown') and in doped cuprates can be understood in terms of concealed Mott criticality. In this picture, one species of electrons undergoes a Mott…

Strongly Correlated Electrons · Physics 2025-10-03 Louk Rademaker

Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical, with the third one exhibiting the exotic properties in-between the former two. Confirming the presence of critical states is…

We present a new quantum molecular dynamics (MD) method where the electronic structure and atomic forces are solved by a real-space dynamical mean-field theory (DMFT). Contrary to most quantum MD methods that are based on effective…

Strongly Correlated Electrons · Physics 2022-08-19 Zhijie Fan , Gia-Wei Chern

Motivated by the novel phenomena observed in the layered material $\rm SrCu_2(BO_3)_2$, the Shastry-Sutherland model (SSM) has been extensively studied as the minimal model for $\rm SrCu_2(BO_3)_2$. However, the nature of its quantum phase…

Strongly Correlated Electrons · Physics 2024-07-11 Wen-Yuan Liu , Xiao-Tian Zhang , Zhe Wang , Shou-Shu Gong , Wei-Qiang Chen , Zheng-Cheng Gu

We perform a systematic study of incoherent transport in the high temperature crossover region of the half-filled one-band Hubbard model. We demonstrate that the family of resistivity curves displays characteristic quantum critical scaling…

Strongly Correlated Electrons · Physics 2015-03-17 H. Terletska , J. Vucicevic , D. Tanasković , V. Dobrosavljević

We investigate the behavior of the periodic Anderson model in the presence of $d$-$f$ Coulomb interaction ($U_{df}$) using mean-field theory, variational calculation, and exact diagonalization of finite chains. The variational approach…

Strongly Correlated Electrons · Physics 2013-04-01 I. Hagymasi , K. Itai , J. Solyom

Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model and thus gives an approximate solution of the Hubbard model from the solution of simpler quantum impurity model.…

The Mott critical point between a metal and a correlated insulator has usually been studied via density or spin density bosonic mode fluctuations according to the standard Ginzburg-Landau-Wilson phase transition paradigm. A moment's…

Strongly Correlated Electrons · Physics 2011-02-19 Zaira Nazario , David I. Santiago

The Mott insulator-to-superfluid transition exhibited by the Bose-Hubbard model on a two-dimensional square lattice occurs for any value of the chemical potential, but becomes critical at the tips of the so-called Mott lobes only. Employing…

Statistical Mechanics · Physics 2019-12-03 Sören Sanders , Martin Holthaus

The self-energy-functional approach proposed recently is applied to the single-band Hubbard model at half-filling to study the Mott-Hubbard metal-insulator transition within the most simple but non-trivial approximation. This leads to a…

Strongly Correlated Electrons · Physics 2007-05-23 M. Potthoff

The pseudogap Anderson impurity model provides a classic example of an essentially local quantum phase transition. Here we study its single-particle dynamics in the vicinity of the symmetric quantum critical point (QCP) separating…

Strongly Correlated Electrons · Physics 2009-11-10 M. T. Glossop , D. E. Logan

One dimensional tight binding models such as Aubry-Andre-Harper (AAH) model (with onsite cosine potential) and the integrable Maryland model (with onsite tangent potential) have been the subject of extensive theoretical research in…

Mesoscale and Nanoscale Physics · Physics 2014-07-15 Sriram Ganeshan , K. Kechedzhi , S. Das Sarma

We examine the scaling behavior of the entanglement entropy for the 2D quantum dimer model (QDM) at criticality and derive the universal finite sub-leading correction $\gamma_{QCP}$. We compute the value of $\gamma_{QCP}$ without…

Statistical Mechanics · Physics 2010-11-10 Benjamin Hsu , Eduardo Fradkin

We examine a charged scalar field with a position-dependent mass \( m(\rho) = m_0 + \mathcal{S}(\rho) \), where \(\mathcal{S}(\rho)\) represents a Lorentz scalar potential, near a BTZ black hole in the presence of an external magnetic…

High Energy Physics - Theory · Physics 2025-02-10 A. Guvendi , O. Mustafa

We studied several aspects of the Mott metal-insulator transition in the disordered case. The model on which we based our analysis is the disordered Hubbard model, which is the simplest model capable of capturing the Mott metal-insulator…

Strongly Correlated Electrons · Physics 2020-07-01 M. Y. Suárez-Villagrán , N. Mitsakos , Tsung-Han Lee , V. Dobrosavljević , J. H. Miller, , E. Miranda

In the context of the dynamical mean field theory of the Hubbard model, we study the compressibility near the density driven Mott transition at finite temperatures. We demonstrate this divergence using dynamical mean field theory and…

Strongly Correlated Electrons · Physics 2007-05-23 G. Kotliar , Sahana Murthy , M. J. Rozenberg

Metallic quantum criticality often develops in strongly correlated systems with local effective degrees of freedom. In this work, we consider an Anderson lattice model with SU(2) symmetry. The model is treated by the extended dynamical…

Strongly Correlated Electrons · Physics 2020-04-10 H. Hu , A. Cai , Q. Si

I review a variety of model systems and their quantum critical points, motivated by recent experimental and theoretical developments. These are used to present a general discussion of the non-zero temperature crossovers in the vicinity of a…

Strongly Correlated Electrons · Physics 2015-05-14 Subir Sachdev

In contrast to the first-order correlation-driven Mott metal-insulator transition (MIT), contin- uous disorder-driven transitions are intrinsically quantum critical. Here, we investigate transport quantum criticality in the Falicov-Kimball…

Strongly Correlated Electrons · Physics 2017-09-21 P. Haldar , M. S. Laad , S. R. Hassan

We study theoretically the zero temperature phase transition in two dimensions from a Fermi liquid to a paramagnetic Mott insulator with a spinon Fermi surface. We show that the approach to the bandwidth controlled Mott transition from the…

Strongly Correlated Electrons · Physics 2009-11-13 T. Senthil